The characterization of totally positive sequence preservers by their remainders
The remainder characterization conjecture. The sequence A{\mathbf A}A is a TP∞\mathrm{TP}_\inftyTP∞-preserver if and only if, for every l∈N∪{0}l\in\mathbb N\cup\{0\}l∈N∪{0}, Rl[A]R_l[\mathbf A]Rl[A] is an…